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A short proof of a kirby flattening theorem

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Geometric Topology

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 438))

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The material in this paper is a portion of the author’s dissertation at the University of Utah, written under the direction of Professor T. B. Rushing.

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References

  1. J. L. Bryant, Taming polyhedra in the trivial range, Michigan Math. J. 13 (1966), 377–384.

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  2. J. C. Cantrell, Separation of the n-sphere by an (n−1)-sphere, Trans. Amer. Math. Soc. 108 (1963), 185–194.

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  3. A. V. Cernavskii, The k-stability of homeomorphisms and the union of cells, Soviet Math. Dokl. 9 (1968), 729–731.

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  4. R. C. Kirby, On the set of non-locally flat points of a submanifold of codimension one, Ann. of Math. 88 (1968), 281–290.

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  5. _____, The union of flat (n−1)-balls is flat in R n, Bull. Amer. Math. Soc. 74 (1968), 614–617.

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Leslie Curtis Glaser Thomas Benjamin Rushing

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© 1975 Springer-Verlag

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Benson, F. (1975). A short proof of a kirby flattening theorem. In: Glaser, L.C., Rushing, T.B. (eds) Geometric Topology. Lecture Notes in Mathematics, vol 438. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0066103

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  • DOI: https://doi.org/10.1007/BFb0066103

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07137-2

  • Online ISBN: 978-3-540-37412-1

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